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If the density of the material increases, the value of Young's modulus

Correct answer: A. Increases

  • A. Increases
  • B. Decreases
  • C. First increases then decreases
  • D. First decreases then increases

Explanation

Young's modulus is a measure of the stiffness of a solid material. It is defined as the ratio of stress (force per unit area) to strain (proportional deformation) in a material in the linear elasticity regime of a uniaxial deformation. Generally, in many solid materials, an increase in density is associated with a stronger atomic or molecular structure, which means that the material can withstand more stress without deforming, thus increasing Young's modulus. Therefore, the correct answer is that Young's modulus increases with an increase in density. The other options, suggesting a decrease or a non-linear relationship, are not typically observed in the majority of solid materials.

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About Physics of Solids

Solids are compared through crystal structure, amorphous arrangement, elasticity, plastic deformation, stress, strain and Young’s modulus. Electrical behavior depends on available charge carriers and band structure, so conductors, insulators and semiconductors must be distinguished from mechanical properties such as strength, stiffness and brittleness.

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